Harris has played for the England Lions for the past year but has yet to make the breakthrough into the full national side.
Harris told BBC Sport: "I have made no bones about that fact that I want to play cricket for England and that is what I am aiming for and working hard for every day.
"My former Lions teammate Joe Root is a prime example of how things can change quickly and proves what can be achieved with hard work. Joe is a fantastic player and I played alongside him with the Lions.
"We have been on a couple of tours together and his emergence at international level just spurs you on and makes you realise how close you are to an England call-up."
The 23-year-old has 16 wickets in five County Championship matches this season.